--- rpl/lapack/lapack/dtrsna.f 2010/12/21 13:53:41 1.7 +++ rpl/lapack/lapack/dtrsna.f 2011/07/22 07:38:13 1.8 @@ -2,10 +2,10 @@ $ LDVR, S, SEP, MM, M, WORK, LDWORK, IWORK, $ INFO ) * -* -- LAPACK routine (version 3.2) -- +* -- LAPACK routine (version 3.3.1) -- * -- LAPACK is a software package provided by Univ. of Tennessee, -- * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- -* November 2006 +* -- April 2011 -- * * Modified to call DLACN2 in place of DLACON, 5 Feb 03, SJH. * @@ -140,10 +140,10 @@ * The reciprocal of the condition number of an eigenvalue lambda is * defined as * -* S(lambda) = |v'*u| / (norm(u)*norm(v)) +* S(lambda) = |v**T*u| / (norm(u)*norm(v)) * * where u and v are the right and left eigenvectors of T corresponding -* to lambda; v' denotes the conjugate-transpose of v, and norm(u) +* to lambda; v**T denotes the transpose of v, and norm(u) * denotes the Euclidean norm. These reciprocal condition numbers always * lie between zero (very badly conditioned) and one (very well * conditioned). If n = 1, S(lambda) is defined to be 1. @@ -403,12 +403,12 @@ * * Form * -* C' = WORK(2:N,2:N) + i*[rwork(1) ..... rwork(n-1) ] -* [ mu ] -* [ .. ] -* [ .. ] -* [ mu ] -* where C' is conjugate transpose of complex matrix C, +* C**T = WORK(2:N,2:N) + i*[rwork(1) ..... rwork(n-1) ] +* [ mu ] +* [ .. ] +* [ .. ] +* [ mu ] +* where C**T is transpose of matrix C, * and RWORK is stored starting in the N+1-st column of * WORK. * @@ -426,7 +426,7 @@ NN = 2*( N-1 ) END IF * -* Estimate norm(inv(C')) +* Estimate norm(inv(C**T)) * EST = ZERO KASE = 0 @@ -437,7 +437,7 @@ IF( KASE.EQ.1 ) THEN IF( N2.EQ.1 ) THEN * -* Real eigenvalue: solve C'*x = scale*c. +* Real eigenvalue: solve C**T*x = scale*c. * CALL DLAQTR( .TRUE., .TRUE., N-1, WORK( 2, 2 ), $ LDWORK, DUMMY, DUMM, SCALE, @@ -446,7 +446,7 @@ ELSE * * Complex eigenvalue: solve -* C'*(p+iq) = scale*(c+id) in real arithmetic. +* C**T*(p+iq) = scale*(c+id) in real arithmetic. * CALL DLAQTR( .TRUE., .FALSE., N-1, WORK( 2, 2 ), $ LDWORK, WORK( 1, N+1 ), MU, SCALE,